Three-dimensional motion capture protocol for seated operator in whole body vibration

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1 International Journal of Industrial Ergonomics 38 (28) Three-dimensional motion capture protocol for seated operator in whole body vibration S. Rahmatalla a,, T. Xia b, M. Contratto c, G. Kopp c, D. Wilder b, L. Frey Law a, James Ankrum a,b a Center for Computer-Aided Design (CCAD), The University of Iowa, USA b Jolt/Vibration/Seating Lab, Iowa Spine Research Center, The University of Iowa, Iowa City, IA, USA c Caterpillar, Inc., Peoria, IL, USA Available online 19 November 27 Abstract A new methodology to measure the response of seated people to whole body vibration (WBV) is presented in this work. The proposed methodology is based on using motion capture systems with reflective to detect the position versus time motion of selective landmarks on the human body during vibration while taking into consideration the seatback. The methodology also circumvented the problem of tracking the motion of the physical on the lower thoracic and lumbar areas of the spine, which cannot be seen by the cameras due to the existence of the seatback, by introducing virtual (calculated) that substitute for the physical. Additional (redundant) were attached to the segments of interest to generate local coordinate systems that can be used to obtain the trajectories of the virtual. Simulated ride files containing both complex vibration and mild impact signals were played back through a man-rated 6 d.f. motion platform. The methodology was tested on three seated subjects; there was considerable agreement between the trajectories of the physical and virtual. Error assessments also showed insignificant discrepancy between the physical and virtual. The proposed methodology showed encouraging results in WBV testing and may be useful for other applications where people perform tasks in a seated position. Relevance to industry People who operate heavy construction machinery can be at increased risk for low back pain and other musculoskeletal problems. WBV in combination with postural constraints is one potential underlying cause for these complaints. However, WBV is difficult to study without altering the typical operator environment as the seatback and armrests often limit the ability to monitor human motion, particularly the lumbar spine. The development of an efficient and effective technique for measuring three-dimensional (3D) displacement data of the lower back region of seated operators in realistic environments exposed to WBV, could advance the development and validation process of computer human modeling in this field. Preventing these problems can save people significant suffering and industry significant cost due to compensation, medical care, lost productivity, and retraining. r 27 Elsevier B.V. All rights reserved. Keywords: Whole body vibration; Marker protocol; Seated positions 1. Introduction Due to advances in technology, people regularly conduct most of their tasks in seated positions. Examples include people sitting at their desks and working on computers, operators working in industry, and drivers and occupants Corresponding author. Tel.: ; fax: address: srahmata@engineering.uiowa.edu (S. Rahmatalla). performing tasks inside vehicles and heavy equipment. These technologies have increased work productivity and performance to a certain extent. However, many occupational injuries have accompanied this development, and it is now well known that sitting posture is associated with a number of musculoskeletal disorders such as low back pain (Adams and Hutton, 198; Beach et al., 2; Porter and Gyi, 22). In whole body vibration (WBV), such as that encountered in aircrafts, ships, automobiles, farming /$ - see front matter r 27 Elsevier B.V. All rights reserved. doi:1.116/j.ergon.27.8.

2 426 ARTICLE IN PRESS S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) machinery, construction equipment, army vehicles, and other moving environments, the problem becomes more acute as operators are subjected to complex forms of vibration, which may include low-amplitude sudden impact signals. Those types of motion may generate extensive stresses in the lower back area of the spine and may represent a potential cause of injury (National Research Council and the Institute of Medicine, 21; Wilder and Pope, 1996; Pelmear and Wasserman, 1998; Fritz et al., 2). Most of the current WBV studies are based on assumptions that may not reflect the actual situation in the field. For example, domestic and international standards dictate exposure limits based on measurement of vibration at the interface between the seat and the operator s buttocks using seat-pad accelerometry (ANSI S /ISO , 1997; ISO , 1997; ISO 2631-, 24; European Commission, 22). This is based on the assumption that the only major vibration is transmitted through the seat pan. This represents a substantial restriction, as vibration may also be imparted to the head and neck via the steering wheel and/or armrest controls and a relatively rigid upper body (Wilder et al., 26). Therefore, seat configurations and accessories, similar to those used in practice, should be considered in WBV testing. A second limitation in current WBV testing is that most studies consider testing seated subjects using generated ride files with vibration signals applied to the seat in a single direction (Mansfield, 2; Wang et al., 24). However, in real-world scenarios, vibration signals are normally complex, composed of signals in multiple directions, and may contain impact signals that may have tremendous effects on the health and injury risk. Another limitation is that most current experiments are conducted using rigid platforms with no means of back or arm support. While this arrangement may facilitate to a certain degree the measurement process inside the lab, it does not reflect what is happening in real life, where people are normally sitting on a seat with a seatback that normally has lumbar support and occasionally an armrest. Finally, studies in modeling the response of people to WBV may provide a chance to predict the forces on the subject s body, such as those acting on the spine disks and the endplates of vertebrae (Seidel and Griffin, 21). The development of these models requires a full description of the motion of the lower areas of the spine. Thus, it is very important to introduce and design a methodology that is capable of capturing the three-dimensional (3D) motion of the various parts of the body and specifically of the lower thoracic and lumbar areas of seated operators in response to WBV in a manner that is as close as possible to real life. There are many techniques and devices on the market to collect 3D motion data. All existing sensors may suffer from a coupling effect between the sensors and the seatback, resulting in erroneously measuring the relative skin movement between the individual and the seatback rather than actual spine movement. This coupling process may become more problematic at the lumbar spine in WBV environments due to the complexity of the motion. Historically, accelerometers have proven to be the most effective tool for collecting 3D motion data in WBV applications. However, to fully describe the 3D motion of each body segment, six accelerometers are needed. Furthermore, due to the nonlinear relationship between the linear and angular kinematics variables, and the influence of the gravity-related terms, multiple accelerometers (ISO , 1997; ISO 2631-, 24; European Commission, 22; Wilder et al., 26) placed in a specific configuration are needed to resolve a segment s complete kinematics (Padgaonkar et al., 197). This results in a very high number of sensors to monitor whole body motion and may adversely impact normal movements. Passive optical motion capture systems are commonly used in biomechanical studies (Hagio et al., 24; Rahmatalla et al., 26a, b, 27; Robert et al., 2; Manal et al., 23; Reft and Hasan, 22; Zhang et al., 23; Rachel et al., 2; Andreoni et al., 22; Chaffin, 22; Maiteh, 23) and have been shown to be accurate, reproducible, and consistent (Miller et al., 22). While their use in WBV environments is not yet common, they provide advantages for several reasons. First, passive, reflective surfaces attached easily to the body, do not add any wires that could potentially limit motion. Second, only three to four are required to define the 3D velocity and acceleration of a body segment (Verstraete and Soutas-Little, 199) Aim The primary aim of this study was to introduce a methodology that estimates the 3D motion of the various parts of a seated subject s body, specifically the lower thoracic and lumbar areas of the spine, while they are conducting tasks in a WBV environment. The proposed methodology is based on the implementation of motion capture systems with reflective to measure the 3D trajectories of selective points. The hypothesis is that the trajectories of the physical that cannot be seen by the cameras due to the existence of the seatback can be retrieved using virtual (calculated). The virtual can be derived from the surrounding physical and additional (redundant) that are positioned on the segments of interest. 2. Materials and methods 2.1. Participants Three healthy subjects with a mean age of 39.7 years, ranging from 2 to 7 years, were recruited for this study. The mean stature was cm (7.34 in), and the mean body mass was 88. kg. Two of the subjects were professional operators with a minimum of 2 years of experience with large construction equipment. Written

3 S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) informed consent, as approved by the University of Iowa Institutional Review Board, was obtained prior to testing Occupational task Subjects were seated in heavy machinery seats rigidly mounted to a vibration platform (Fig. 1). The motion platform was used to play back and reproduce ride files obtained from large construction equipment in the field, with a high degree of accuracy. Normally, ride files are complex and may include signals that contain impact. Therefore, in order to reproduce these signals with a high degree of fidelity, a 6 d.f. man-rated shaker table (Mannesmann/Rexroth/Hydraudyne 6 d.f. micromotion system, model HSE-6-MS-8-L-2D, Boxtel, The Netherlands) was used. Six different ride files were tested, with durations of 3 s each Data collection A 12-camera Vicon Motion Analysis System was used (infrared SVcam cameras with resolution of.3 megapixels per frame and a peak capture rate of 2 Hz) to collect the Fig. 1. The motion platform and seat assembly used in testing in the Jolt/ Vibration/Seating Lab. motion of 41 passive reflective (Fig. 2) during the WBV exposures. The data were collected at 2 Hz to maximize our ability to accurately capture the high frequency components of the motion signals, then lowpass filtered at 16 Hz. This cut-off frequency was based on power spectrum analyses of tri-axial accelerometers attached to the motion platform base, the head and the torso of the subject. Additional were also used to define the location of the platform and the seat Marker placement protocol Several marker placement protocols have been introduced in the literature to study various types of motion. Among them, the Helen Hayes marker set protocol is the basis for the plug-in gait protocol and has been adopted in a number of commercial software programs such as LifeMOD and Vicon. In the plug-in gait protocol, are attached to bony landmarks on the subject s body to establish local coordinate systems on various segments. While the protocol is very efficient for standing postures and motion, it is deficient if applied to seated positions where four typically cannot be seen by the cameras due to the seatback (Fig. 2). These four are: T1 (attached on the spine at the T1 vertebra), Sacrum (attached on the spine at the S1 vertebra), LPSI (attached to the iliac bone on the left posterior side of the back at the level of L), and RPSI (attached to the iliac bone on the right posterior side of the back at the level of L) (Fig. 3). This deficiency is considered significant in any ergonomic study for seated people where considerable motion and postural change can take place at the lower thoracic and lumbar areas of the spine. Therefore, it is very important to introduce or develop a new marker placement protocol that can handle this deficiency. In this work, a new methodology is introduced to supplement the plug-in gait protocol and make it adequate for capturing the motion of seated people. The improvement process considers adding redundant (Fig. 3) to the segments of interest where are occluded from the camera s view and then uses these to create local coordinate systems that can be used in Fig. 2. Physical on the subject s back when the seatback is upright (left) and fully reclined (right).

4 428 ARTICLE IN PRESS S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) subsequent operations to introduce virtual that can substitute for the occluded physical. In order to show the discrepancy between the trajectories of the physical and the virtual, the subjects were tested in a seated position with the seatback fully reclined (Fig. 3). With this setting, it is possible to define the trajectories of the physical and then use the proposed methodology in this work to define the trajectories of the virtual. During the experiments, and while the seatback is fully reclined, the physical on the back of the person can be seen by the cameras. Therefore, for a marker like P in Fig. 4: X p ¼ R þ l G Ax p, (1) where X p represents the global position of marker P with respect to the global coordinate system G. R is the location of the local coordinate system, established by any three combinations of the redundant, with respect to the global coordinate system G. l GA is a transformation matrix, normally orthogonal, between the local coordinate system (l) and the global coordinate system (G): x l X G y l X G 1 z l X G l G A ¼ x l Y G y l Y G z l Y C G A. (2) x l Z G y l Z G z l Z G Finally, x p is the coordinate of the marker P with respect to the local coordinate system (l). In situations where marker P can be seen by the cameras, Eq. (1) can be used to find the distance x p : x p ¼ l G AT ðx p RÞ. (3) LPSI Sacrum RPSI Redundant Markers T1 Fig. 3. Position of the physical (T1, Sacrum, LPSI, and RPSI) and redundant on the subject s back when the seatback is fully reclined. z l Generally, there is uncertainty of the rigid-body assumption between the on each rigid segment due to the skin movement; therefore, the calculated distance x p is considered approximately constant throughout the experiments in this work. Now, if marker P is considered as one of the on the person s back that will be occluded from the camera s view due to the existence of the seatback, local coordinate systems like l in Fig. 4 can be established from any three that can be seen by the cameras (as is the case for T1 in Fig. ) and are attached to the same segment where marker P is attached. For such cases, Eq. (1) can be used to obtain the global position (X p ) of the missing marker P. Due to skin movement; however, the rigid-body assumption by considering x p ¼ const may not be achieved in most cases. Therefore, more accurate results can be obtained by generating more than one local coordinate system from the redundant. For each local coordinate system, the magnitude of X p can be found y l P x p z i l x l T Back view of the torso R Physical Marker T1 Z G Y G X p Redundant Marker x j x i LASI y i z j RASI G X G Fig. 4. The position of a generic marker P, defined using the global coordinate system (G) and a local coordinate system (l ). Illiac bone (Top- View) LPSI Sacrum RPSI Fig.. Physical (red) and redundant (blue). y j

5 S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) using Eq. (1), and the final value of X p is obtained as the average value over those local coordinate systems. Fig. shows a schematic drawing of the proposed methodology. In Fig., the red represent physical that would be occluded from the camera s view when the seatback is in the upright position. The blue are additional (redundant ) that need to be attached to the subject so they can be seen by the cameras when the seatback is present. Using any three combinations of the redundant will result in a local coordinate system that can be used to create a virtual marker (virtual marker) to substitute for the missing physical (red) marker. Before the real experiment is started, it is important to obtain a relationship between the red and blue ; i.e., to obtain vector x p using Eq. (3). This can be achieved using a static test. In the static test, the seatback will be fully reclined so the cameras can see the physical on the person s back. During the static test, it is possible to define the local position of the red physical with respect to the corresponding local coordinate systems using Eq. (3). Later, in the real experiment, the seatback will be returned to the upright position, and the camera will see the blue redundant but not the red. The global position of the red X p can be retrieved using Eq. (1). 3. Results The physical and virtual markertrajectoriesinthex, y,and z directions for T1, Sacrum, LPSI, and RPSI were similar across the three subjects. A single subject representation is represented in Fig. 6 for the sake of clarity; Fig. 7 depicts the trajectories of the second subject for the Sacrum marker in the individual directions x, y, and z for the whole trial (7 frames, right column) and a more detailed representation (only 2 frames) in the left column. 4. Discussion As can be seen from Fig. 6, and in spite of the complexity of the motion, the trajectories of the virtual are considerably close to the physical in general terms. However, more insight details can be depicted when considering individual directions (x, y, andz) and considering error assessment analysis. Fig. 8 demonstrates the absolute error (mm) between the trajectories of the physical and the virtual (e Abs ) for the third subject at the four of interest: Abs ¼ðX physical X physical Þ ðx calculated X calculated Þ, (4) where X physical and X calculated are the trajectories of the physical and virtual in a certain direction, X physical Sub1_LPSI_Phy_Virtual Sub1_T1_Phy_Virtual Norm_LPSI_Phy Norm_LPSI_Virtual Norm_T1_Phy Norm_T1_Virtual Sub1_RPSI_Phy_Virtual Sub1_SACRUM_Phy_Virtual Norm_RPSI_Phy Norm_RPSI_Virtual Norm_Sacrum_Phy Norm_TSacrum_Virtual Fig. 6. Norm of the physical and virtual of subject 1 at T1, Sacrum, LPSI, and RPSI locations.

6 43 ARTICLE IN PRESS S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) in the x direction of the Sacrum_X_Phy Sacrum_X_Cal in the x direction of the Sacrum_X_Phy Sacrum_X_Cal in the y direction of the in the z direction of the Sacrum_Y_Phy Sacrum_Y_Cal Sacrum_Z_Phy Sacrum_Z_Cal in the y direction of the in the z direction of the Sacrum_Y_Phy Sacrum_Z_Phy Sacrum_Y_Cal Sacrum_Z_Cal Fig. 7. The trajectory of the Sacrum marker for the second subject using physical (Phy) and virtual (calculated, Cal) in the x, y, and z directions for the whole trial of 7 frames (3 s) and trajectories for only 2 frames (1 s) in the area where are there are significant activity. Sub3 T1 Max_Error (mm) Error_X Error_Y Error_Z Sub3 Sacrum Abs_Error (mm) Error_X Error_Y Error_Z Sub3 RPSI Abs_Error (mm) Error_X Error_Y Error_Z Sub3 Sacrum Abs_Error (mm) Error_X Error_Y Error_Z Fig. 8. Absolute error (mm) between the physical and virtual at T1, Sacrum, LPSI, and RPSI for the third subject during the trials (7 frames (3 s)).

7 S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) Sub1_Avg_Error (mm) T1_avg_error Sacrum_avg_error LPSI_avg_error RPSI_avg_error Sub2_Avg_Error (mm) T1 Sacrum LPSI RPSI Sub3_Avg_Error (mm) T1 Sacrum LPSI RPSI Fig. 9. Average error (mm) between the physical and virtual at T1, Sacrum, LPSI, and RPSI for the three subjects during the trials (7 frames (3 s)). and X calculated are the average values for each one. Fig. 9 shows the distribution of the average error e Avg, while Fig. 1 depicts the distribution of the maximum error e Max : Avg ¼ 1 X ðx physical X calculated Þ, () n n where n is the number of frames throughout the experiments. Fig. 1 shows that the maximum error for all cases was below 19 mm which represents 12% of the mean displacement; still, this only occurs at some and in certain directions and at limited frames. Specifically, the maximum error took place at the T1 in the medio-lateral directions. Interestingly, maximum error is happening for all subjects and all at approximately the same time, with respect to the testing reference (between frame 2 and 3 and between frame and 7) as shown in Fig. 8, in situations where there is relatively severe motion and significant skin movement is expected to take place. The latter observation can also be supported by inspecting Figs. 8 and 9. While Fig. 9 shows that the average error for all tests is below 6 mm, Fig. 8 shows that the distribution of the absolute error throughout the test is normally below mm, except at limited frames where there is an extreme motion. As described in the previous paragraph, the discrepancy between the physical and virtual is strongly associated with the severity of the skin movement. Therefore, the resulting absolute error does not reflect inaccuracy in the virtual ; some components are associated with the uncertainty of the location of the physical due to skin movement. Previous studies have shown that skin movement can cause substantial errors, especially with severe or impact-type motion Reinschmidt et al. (1997). Therefore, the actual error between the trajectories of the virtual and the real points on the person s back may be below the apparent error between the virtual and physical. In addition to the error assessment operations, which support the strength of the proposed methodology, Fig. 7 demonstrates the closeness between the trajectories of the virtual and physical throughout the trial in all directions. In some cases, however, as that of the z direction in Fig. 7, there is a constant offset between the trajectories of the physical and virtual due to the difference in their starting positions. This offset, while small, means that the virtual marker is moving very

8 432 S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) Sub1_Max_Error (mm) Sub2_Max_Error (mm) Sub3_Max_Error (mm) similarly to the physical marker (relative change in position) but is estimated to be sitting a small distance away from the actual marker. A similar situation could occur experimentally when detaching and reattaching a physical marker to a particular spot, as could occur between repeated trials.. Conclusion T1_max_error LPSI_max_error Sacrum_max_error RPSI_max_error T1 Sacrum LPSI RPSI T1 Sacrum LPSI RPSI Fig. 1. Maximum error (mm) between the physical and the virtual at T1, Sacrum, LPSI, and RPSI for the three subjects during the trials (7 frames (3 s)). In this work, a new methodology to capture the 3D motion of seated operators in WBV scenarios is presented. The proposed methodology is based on using optical motion tracking with a marker placement protocol that can effectively capture the motion of all points of interest on the subject s body, specifically those on the lower thoracic and lumbar regions of the spine. In the proposed methodology, virtual obtained from redundant are used to substitute for the physical that cannot be seen by the camera due to the existence of the seatback. The proposed methodology was tested on three seated subjects conducting simulated tasks in a WBV environment using a complex (6 d.f.) ride. The error assessment operations show that the maximum error between the physical and virtual took place in the medio-lateral directions where there was a great tendency for skin movement. Therefore, the proposed methodology, which is based on the assumption of rigid-body relationships between the on the thoracic and iliac bone regions, may give realistic results because it is less sensitive than physical to skin movement. Additionally, because the proposed methodology has shown encouraging results in the WBV environment with relatively severe motion, it can be applied with more confidence to other seated-position applications. Acknowledgments This study was funded by Caterpillar Inc. of Peoria, Illinois, and was conducted at the Center for Computer- Aided Design and the Jolt/Vibration/Seating Lab of the Iowa Spine Research Center at The University of Iowa. References Adams, M.A., Hutton, W.C., 198. The effect of posture on the lumber spine. Journal of Bone and Joint Surgery 67-B, Andreoni, G., Santambrogio, G.C., Rabuffetti, M., Pedotti, A., 22. Method for the analysis of posture and interface pressure of car drivers. Applied Ergonomics 33 (6), ANSI S /ISO , Nationally Adopted International Standard (NAIS): Mechanical Vibration and Shock Evaluation of Human Exposure to Whole Body Vibration Part 1: General Requirements. Acoustical Society of America, Melville, NY, Beach, T.A., Parkinson, R.J., Stothart, J.P., Callaghan, J.P., 2. Effects of prolonged sitting on the passive flexion stiffness of the in vivo lumbar spine. Spine Journal (2), Chaffin, D., 22. On simulating human reach motions for ergonomics analyses. Human Factors and Ergonomics in Manufacturing 12 (3), European Commission, 22. Directive 22/44/EC of the European Parliament and of the Council of 2 June 22 on the minimum health and safety requirements regarding the exposure of workers to the risks arising from physical agents (vibration) (sixteenth individual Directive within the meaning of Article 16(1) of Directive 89/391/EEC. Official Journal of the European Communities L177 (4), Fritz, M., Fischer, S., Brode, P., 2. Vibration induced low back disorders-comparison of the vibration evaluation according to ISO 2631 with a force-related evaluation. Applied Ergonomics 36, Hagio, K., Sugano, N., Nishii, T., Miki, H., Otake, Y., Hattori, A., Suzuki, N., Yonenobu, K., Yoshikawa, H., Ochi, T., 24. A novel system of four-dimensional motion analysis after total hip athroplasty. Journal of Orthopaedic Research 22 (3), ISO , Mechanical Vibration and Shock Evaluation of Human Exposure to Whole Body vibration Part 1: General Requirements. International Standards Organization, Geneva, Switzerland, ISO 2631-, 24. Mechanical Vibration and Shock Evaluation of Human Exposure to Whole Body Vibration Part : Method for Evaluation of Vibration Containing Multiple Shocks. International Standards Organization, Geneva, Switzerland, Maiteh, B., 23. An application of digital human modeling and ergonomics analysis in workplace design. American Society of Mechanical Engineers, Manufacturing Engineering Division, MED 14,

9 S. Rahmatalla et al. / International Journal of Industrial Ergonomics 38 (28) Manal, K., McClay, D., Galinat, B., Stanhope, S., 23. The accuracy of estimating proximal tibial translation during natural cadence walking: bone vs. skin mounted targets. Clinical Biomechanics 18 (2), Mansfield, N.J., 2. Impendence methods (apparent mass, driving point mechanical impendence and absorbed power) for assessment of the biomechanical response of the seated person to whole-body vibration. Industrial Health 43, Miller, C., Mulavara, A., Bloomberg, J., 22. A quasi-static method for determining the characteristic of motion capture camera system in a split-volume configuration. Gait and Posture 16 (3), National Research Council and the Institute of Medicine, 21. Musculoskeletal Disorders and the Workplace: Low Back and Upper Extremities. Panel on Musculoskeletal Disorders and the Workplace. Commission on Behavioral and Social Sciences and Education. National Academy Press, Washington, DC, pp Padgaonkar, A.J., Krieger, K.W., King, A.I., 197. Measurement of angular acceleration of a rigid body using linear accelerometers. Transactions of the ASME, 2 6. Pelmear, P., Wasserman, D. (Eds.), Hand-Arm Vibration A Comprehensive Guide for Occupational Health Professionals, second ed. OEM Press, Beverly Farms, MA. Porter, J.M., Gyi, D.E., 22. The prevalence of musculoskeletal disorders among car drivers. Occupational Medicine (2), Rachel, A., Michael, J., Tammy, M., Mark, D., 2. Foot displacement but not velocity predicts the outcome of a slip induced in young subjects while walking. Journal of Biomechanics 33, Rahmatalla, S., Kim, H.J., Shanahan, M., Swan, C.C., 26a. Effect of Restrictive Clothing on Balance and Gait Using Motion Capture and Dynamic Analysis, Paper No , SAE 2, Transactions Journal of Passenger Cars-Electronic and Electrical Systems, March 26. Rahmatalla, S., Xia, T., Contratto, M., Wilder, D., Frey Law, L., Kopp, G., Grosland, N., 26b. 3D displacement, velocity, and acceleration of seated operators in a whole body vibration environment using optical motion capture systems. In: The Ninth International Symposium on the 3-D Analysis of Human Movement, Valenciennes, France, 28 3 June. Rahmatalla, S., Xia, T., Ankrum, J., Contratto, M., Kopp, G., Wilder, D., Frey Law, L., Abdel Malek, K., 27. A Framework to Study Human Response to Whole Body Vibration, Paper No. 7DHM-7, Digital Human Modeling for Design and Engineering Conference, Seattle, June. Reft, J., Hasan, Z., 22. Trajectories of target reaching arm movements in individuals with spinal cord injury: effect of external trunk support. Spinal Cord 4 (4), Reinschmidt, C., van den Bogert, A.J., Nigg, B.M., Lunberg, A., Murphy, N., Effect of skin movement on the analysis of skeletal knee joint motion during running. Journal of Biomechanics 3 (7), Robert, J.J., Michele, O., Gordon, L.H., 2. Validation of the Vicon 46 Motion Capture System TM for Whole-Body Vibration Acceleration Determination, ISB XXth Congress-ASB 29th Annual Meeting, 31 July August, Cleveland, Ohio. Seidel, H., Griffin, M.J., 21. Modeling the response of the spinal system to whole-body vibration and repeated shock. Clinical Biomechanics 1, S3 S7. Verstraete, M.C., Soutas-Little, R.W., 199. A method for computing the three-dimensional angular velocity and acceleration of a body segment from three-dimensional position data. Transactions of the ASME 112, Wang, W., Rakheja, S., Boileau, P.E., 24. Effects of sitting posture on biodynamic response of seated occupants under vertical vibration. International Journal of Industrial Ergonomics 34, Wilder, D.G., Pope, M.H., Epidemiological and etiological aspects of low back pain in vibration environments an update. Clinical Biomechanics 11 (2), Wilder, D., Rahmatalla, S., Contratto, M., Xia, T., Frey-Law, L., Kopp, G., Grosland, N., 26. Head-Trunk Motion Increase with Arm-Rest Controls, 1st American Conference on Human Vibration, West Virginia, 7 June 26. Zhang, X., Xiong, J., Bishop, A.M., 23. Effects of load and speed on lumber vertebral kinematics during lifting motions. Human Factors 4 (2),

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